Solve for x -5(x-2)-(x+2)=50

$- 5 (x - 2) - (x + 2) = 50$

Step 1

Simplify $- 5 (x - 2) - (x + 2)$ .

Simplify each term.

Apply the distributive property.

$- 5 x - 5 \cdot - 2 - (x + 2) = 50$

Multiply $- 5$ by $- 2$ .

$- 5 x + 10 - (x + 2) = 50$

Apply the distributive property.

$- 5 x + 10 - x - 1 \cdot 2 = 50$

Multiply $- 1$ by $2$ .

$- 5 x + 10 - x - 2 = 50$

Simplify by adding terms.

Subtract $x$ from $- 5 x$ .

$- 6 x + 10 - 2 = 50$

Subtract $2$ from $10$ .

$- 6 x + 8 = 50$

Step 2

Move all terms not containing $x$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$- 6 x = 50 - 8$

Subtract $8$ from $50$ .

$- 6 x = 42$

Step 3

Divide each term in $- 6 x = 42$ by $- 6$ and simplify.

Divide each term in $- 6 x = 42$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{42}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{42}{- 6}$

Divide $x$ by $1$ .

$x = \frac{42}{- 6}$

Simplify the right side.

Divide $42$ by $- 6$ .

$x = - 7$